References: On the hilbert function of some non cohen-macaulay graded rings

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Eakin , P. and Sathaye , A. 1976 . Prestable ideals . J. of Algebra , 41 : 439 – 454 .
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Herzog , J. and Waldi , R. 1975 . A note on the Hilbert function of a one-dimensional Cohen-Macaulay ring . man.math , 16 : 251 – 260 .
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Molinelli , S. and Tamone , G. 1975 . On the Hilbert function of certain non Cohen-Macaulay one-dimensional rings . Rocky Mountain J. of Math , 16 to appear in the
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